58245120 has 180 divisors, whose sum is σ = 204466080. Its totient is φ = 15335424.

The previous prime is 58245119. The next prime is 58245149. The reversal of 58245120 is 2154285.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737241 + ... + 737319.

Almost surely, 2^58245120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102233040).

58245120 is an abundant number, since it is smaller than the sum of its proper divisors (146220960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58245120 is an equidigital number, since it uses as much as digits as its factorization.

58245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 58245120 is about 7631.8490551111. The cubic root of 58245120 is about 387.6322018570.

The spelling of 58245120 in words is "fifty-eight million, two hundred forty-five thousand, one hundred twenty".